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If the top of a 4.50 m ladder reaches twice as far up a vertical wall as the foot of the
ladder is out from the base of the wall, how far up the wall does the ladder reach?
Draw a diagram. Give your answer to two decimal places

Respuesta :

Answer:

4 m.

Step-by-step explanation:

Length of ladder, L = 4.50 m

Base of ladder from the wall, B = x

Height of the wall, H = 2x

Using Pythagoras theorem

[tex]L^2 = B^2 + H^2[/tex]

[tex]4.5^2 = x^2 + (2x)^2[/tex]

[tex]5x^2 = 4.5^2[/tex]

[tex]x = 2\ m\ (approx.)[/tex]

Height of the wall  is equal to 2 x 2 = 4 m.

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